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What is the Least Common Multiple of 26826 and 26840?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 26826 and 26840 is 360004920.

LCM(26826,26840) = 360004920

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Least Common Multiple of 26826 and 26840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26826 and 26840, than apply into the LCM equation.

GCF(26826,26840) = 2
LCM(26826,26840) = ( 26826 × 26840) / 2
LCM(26826,26840) = 720009840 / 2
LCM(26826,26840) = 360004920

Least Common Multiple (LCM) of 26826 and 26840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26826 and 26840. First we will calculate the prime factors of 26826 and 26840.

Prime Factorization of 26826

Prime factors of 26826 are 2, 3, 17, 263. Prime factorization of 26826 in exponential form is:

26826 = 21 × 31 × 171 × 2631

Prime Factorization of 26840

Prime factors of 26840 are 2, 5, 11, 61. Prime factorization of 26840 in exponential form is:

26840 = 23 × 51 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 26826 and 26840.

LCM(26826,26840) = 23 × 31 × 171 × 2631 × 51 × 111 × 611
LCM(26826,26840) = 360004920